Question

We will use the elimination method to solve the following system of

equations. We will start by eliminating one of the variables.
1) 4x - 7y = 47 What variable can be eliminated?
6x + 7y = - 17

Answer 1

x = 3

y = -5

Explanation:

It would be very easy to eliminate y by adding the two equations,

4x - 7y = 47

6x + 7y = -17

10x = 30

x = 3 4(3) - 7y = 47

12 - 7y = 47

-7y = 35

y = -5

Check: See if the values work in the second equation

6(3) + 7(-5)

= 18 - 35

= -17 It looks like they work, so we know we have the correct values